2015/11/30 by Henri Saarikoski, José Pablo Baltanás, J. Enrique Vázquez-Lozano +3
Chemistry · Physics and Astronomy · #Adiabatic process #Advanced NMR Techniques and Applications #Geometric phase #Magnetic moment #Molecular spectroscopy and chirality #Phase transition #Quantum #Quantum chaos and dynamical systems #Quantum phase transition #Quantum phases #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1088/0953-8984/28/16/166002
published as Journal of Physics: Condensed Matter 28, 166002 (2016) · revision, 7 pages, 7 figures
arxiv created 2016/02/09 · openalex publication_date 2016/03/24 · arxiv updated 2016/04/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We address the development of geometric phases in classical and quantum magnetic moments (spin-1/2) precessing in an external magnetic field. We show that nonadiabatic dynamics lead to a topological phase transition determined by a change in the driving field topology. The transition is associated with an effective geometric phase which is identified from the paths of the magnetic moments in a spherical geometry. The topological transition presents close similarities between SO(3) and SU(2) cases but features differences in, e.g. the adiabatic limits of the geometric phases, being 2π and π in the classical and the quantum case, respectively. We discuss possible experiments where the effective geometric phase would be observable.